Let's break it down, there's 24 hours in a day and there's 60 minutes for each hour so there are 1440 minutes are in a day. (60 * 24)
3(n + 5) ≥ 3n + 8
3n + 15 ≥ 3n + 8
3n - 3n ≥ 8 - 15
0 ≥ -7
Therefore, the solution to the inequality is all real numbers.
Answer:
y = 9.50 + 6.00n
Step-by-step explanation:
This equation shows that the base rice that you must pay is $9.50 (the cost of your ticket). $6.00n represents the cost of however many additional tickets you purchase for n friends. Say 3 friends decide to come, your n value is 3.
You would need to do the following to determine the price you need to pay for 3 friends:
6.00(3) = 18.00 (this is how much you'd pay for 3 friends)
You must add your ticket price to $18.00 to find y (the total amount you must pay for yourself and your 3 friends). So you must do the following:
y = 9.50 + 6.00(3)
y = 9.50 + 18.00
y = 27.50 (this is the total price you'll pay for everyone attending
Hope this helps :)
Answer:
x = 14
y = 14
z= 14
Step-by-step explanation:
Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.
Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that <em>x</em> will be the same as its respective leg, 14
Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.
Since <em>y</em> is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, <em>y</em> is 14. <em>z </em>is then 14
using either Pythagorean Theorem or special right triangle properties for 30-60-90.
Step-by-step explanation:
first we want to convert it to minutes so we multiply 60m/s by 60. 3600m/min or 3.6km/min
we just multiply 50 by 3.6.
therefore the car travels 180km south west